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Finding the Fourth Proportional to 733.92, 1,009.98 and 635.10

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Solution

The fourth proportional to 733.92, 1,009.98 and 635.10 is: 873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.92 : 1,009.98 = 635.10 : x
  2. Step 2: Convert to fraction form
    733.92/1,009.98 = 635.10/x
  3. Step 3: Cross multiply
    733.92x = 1,009.98 × 635.10
  4. Step 4: Simplify right side
    733.92x = 641,438.30
  5. Step 5: Solve for x
    x = 641,438.30/733.92
  6. Step 6: Final answer
    x = 873.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.